An Invitation to Applied Mathematics
  • Release Date : 08 October 2016
  • Publisher : Academic Press
  • Genre : Uncategorized
  • Pages : 874 pages
  • ISBN 13 : 0128041536
Ratings: 4
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Download or read book entitled An Invitation to Applied Mathematics by author: Carmen Chicone which was release on 08 October 2016 and published by Academic Press with total page 874 pages . This book available in PDF, EPUB and Kindle Format. "An Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation "introduces the reader to the methodology of modern applied mathematics in modeling, analysis, and scientific computing with emphasis on the use of ordinary and partial differential equations. Each topic is introduced with an attractive physical problem, where a mathematical model is constructed using physical and constitutive laws arising from the conservation of mass, conservation of momentum, or Maxwell's electrodynamics. Relevant mathematical analysis (which might employ vector calculus, Fourier series, nonlinear ODEs, bifurcation theory, perturbation theory, potential theory, control theory, or probability theory) or scientific computing (which might include Newton's method, the method of lines, finite differences, finite elements, finite volumes, boundary elements, projection methods, smoothed particle hydrodynamics, or Lagrangian methods) is developed in context and used to make physically significant predictions. The target audience is advanced undergraduates (who have at least a working knowledge of vector calculus and linear ordinary differential equations) or beginning graduate students. Readers will gain a solid and exciting introduction to modeling, mathematical analysis, and computation that provides the key ideas and skills needed to enter the wider world of modern applied mathematics. Presents an integrated wealth of modeling, analysis, and numerical methods in one volumeProvides practical and comprehensible introductions to complex subjects, for example, conservation laws, CFD, SPH, TEM, and FEMIncludes a rich set of applications, with more appealing problems and projects suggested